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Forming planetary systems are populated by large numbers of gravitationally interacting planetary bodies, spanning from massive giant planets to small planetesimals akin to present-day asteroids and comets. All these planetary bodies are…

Earth and Planetary Astrophysics · Physics 2026-02-05 Diego Turrini , Sergio Fonte , Romolo Politi , Danae Polychroni , Scigé J. Liu , Paolo Matteo Simonetti , Simona Pirani

In the standard model of terrestrial planet formation, planets are formed through giant impacts of planetary embryos after the dispersal of the protoplanetary gas disc. Traditionally, $N$-body simulations have been used to investigate this…

Earth and Planetary Astrophysics · Physics 2025-05-28 Tadahiro Kimura , Haruka Hoshino , Eiichiro Kokubo , Yuji Matsumoto , Masahiro Ikoma

Aims. In the context of the core instability model, we present calculations of in situ giant planet formation. The oligarchic growth regime of solid protoplanets is the model adopted for the growth of the core. Methods. The full…

Astrophysics · Physics 2009-11-13 A. Fortier , O. G. Benvenuto , A. Brunini

We developed a new direct-tree hybrid N-body algorithm for fully self-consistent N-body simulations of star clusters in their parent galaxies. In such simulations, star clusters need high accuracy, while galaxies need a fast scheme because…

Astrophysics · Physics 2015-05-13 M. Fujii , M. Iwasawa , Y. Funato , J. Makino

We model the early stages of planet formation in the Solar System, including continual planetesimal formation, and planetesimal and pebble accretion onto planetary embryos in an evolving disk driven by a disk wind. The aim is to constrain…

Earth and Planetary Astrophysics · Physics 2023-02-22 John Chambers

Planetary systems form in gas-dust protoplanetary discs via the growth of solid bodies. In this paper, we show that the most intriguing stage of such growth --- namely, the transformation of 1-10 m boulders into kilometre-sized…

Earth and Planetary Astrophysics · Physics 2015-06-11 Valeriy N. Snytnikov , Olga P. Stoyanovskaya

We investigate the formation of planetesimals via the gravitational instability of solids that have settled to the midplane of a circumstellar disk. Vertical shear between the gas and a subdisk of solids induces turbulent mixing which…

Astrophysics · Physics 2008-11-26 Andrew N. Youdin , Frank H. Shu

As accretion in protoplanetary disks is enabled by turbulent viscosity, the border between active and inactive (dead) zones constitutes a location where there is an abrupt change in the accretion flow. The gas accumulation that ensues…

Earth and Planetary Astrophysics · Physics 2009-11-13 W. Lyra , A. Johansen , A. Zsom , H. Klahr , N. Piskunov

We review the current theoretical understanding how growth from micro-meter sized dust to massive giant planets occurs in disks around young stars. After introducing a number of observational constraints from the solar system, from observed…

Earth and Planetary Astrophysics · Physics 2010-12-24 Christoph Mordasini , Hubert Klahr , Yann Alibert , Willy Benz , Kai-Martin Dittkrist

We present a novel implementation of a soft sphere, discrete elements code to simulate the dynamics of self-gravitating granular materials. The code is used to study the outcome of sub-sonic collisions between self-gravitating rubble piles…

Earth and Planetary Astrophysics · Physics 2025-08-22 Job Guidos , Lucas Kolanz , Davide Lazzati

A Lagrangian, particle-based numerical method (tree code gravity plus smoothed particle hydrodynamics) was used to simulate clump-clump collisions occurring within GMCs. The collisions formed shock-compressed layers, out of which condensed…

Astrophysics · Physics 2009-10-30 A. S. Bhattal , N. Francis , S. J. Watkins , A. P. Whitworth

Planetary population synthesis is a tool to understand the physics of planetary system formation. It builds on a model that includes a multitude of physical processes. The outcome can be statistically compared with exoplanet observations.…

Earth and Planetary Astrophysics · Physics 2023-03-02 Alexandre Emsenhuber , Christoph Mordasini , Remo Burn

The final stage in the formation of terrestrial planets consists of the accumulation of ~1000-km ``planetary embryos'' and a swarm of billions of 1-10 km ``planetesimals.'' During this process, water-rich material is accreted by the…

Astrophysics · Physics 2009-11-11 Sean N. Raymond , Thomas Quinn , Jonathan I. Lunine

Observations of exoplanetary systems provide clues about the intrinsic distribution of planetary systems, their architectures, and how they formed. We develop a forward modelling framework for generating populations of planetary systems and…

Earth and Planetary Astrophysics · Physics 2019-11-18 Matthias Y. He , Eric B. Ford , Darin Ragozzine

Context: Planet formation by pebble accretion is an alternative to planetesimal-driven core accretion. In this scenario, planets grow by accreting cm-to-m-sized pebbles instead of km-sized planetesimals. One of the main differences with…

Earth and Planetary Astrophysics · Physics 2019-08-09 M. G. Brouwers , A. Vazan , C. W. Ormel

In the core accretion scenario, a massive core forms first and then accretes an envelope. When discussing how this core forms some divergences appear. First scenarios of planet formation predict the accretion of km-sized bodies, called…

Earth and Planetary Astrophysics · Physics 2020-08-05 Natacha Brügger , Remo Burn , Gavin Coleman , Yann Alibert , Willy Benz

In the past decade, ALMA observations have revealed that a large fraction of protoplanetary discs contains rings in the dust continuum. These rings are the locations where pebbles accumulate, which is beneficial for planetesimal formation…

Earth and Planetary Astrophysics · Physics 2022-11-30 Haochang Jiang , Chris W. Ormel

The early stages of planet formation are still not well understood. Coagulation models have revealed numerous obstacles to the dust growth, such as the bouncing, fragmentation and radial drift barriers. We study the interplay between dust…

Earth and Planetary Astrophysics · Physics 2013-07-24 J. Drazkowska , F. Windmark , C. P. Dullemond

Planet formation is directly linked to the birthing environment that protoplanetary disks provide. The disk properties determine whether a giant planet will form and how it evolves. The number of exoplanet and disk observations is…

Earth and Planetary Astrophysics · Physics 2023-11-08 Sofia Savvidou , Bertram Bitsch

Planet formation may begin much earlier than previously expected, when the protoplanetary disk is still massive and gravitationally unstable. It has been proposed that solid grains can concentrate in the spiral arms of self-gravitating…

Earth and Planetary Astrophysics · Physics 2025-11-04 Hans Baehr , Ken Rice , Chao-Chin Yang , Cassandra Hall